401002146600 has 192 divisors, whose sum is σ = 1364757560640. Its totient is φ = 96593203200.

The previous prime is 401002146599. The next prime is 401002146731. The reversal of 401002146600 is 6641200104.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 842704 + ... + 1229696.

It is an arithmetic number, because the mean of its divisors is an integer number (7108112295).

Almost surely, 2^401002146600 is an apocalyptic number.

401002146600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401002146600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682378780320).

401002146600 is an abundant number, since it is smaller than the sum of its proper divisors (963755414040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

401002146600 is a wasteful number, since it uses less digits than its factorization.

401002146600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387180 (or 387171 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 401002146600 its reverse (6641200104), we get a palindrome (407643346704).

The spelling of 401002146600 in words is "four hundred one billion, two million, one hundred forty-six thousand, six hundred".